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Finding the Third Proportional to 142,573,369,731 and 302,144,813,418

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Solution

The third proportional to 142,573,369,731 and 302,144,813,418 is: 640,312,341,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,573,369,731 : 302,144,813,418 = 302,144,813,418 : x
  2. Step 2: Convert to fraction form
    142,573,369,731/302,144,813,418 = 302,144,813,418/x
  3. Step 3: Cross multiply
    142,573,369,731x = 302,144,813,418 × 302,144,813,418
  4. Step 4: Simplify right side
    142,573,369,731x = 91,291,488,275,398,035,243,008
  5. Step 5: Solve for x
    x = 91,291,488,275,398,035,243,008/142,573,369,731
  6. Step 6: Final answer
    x = 640,312,341,972.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.